Finding the Fourth Proportional to 76.10, 105.06 and 59.69

Step by Step Solution

1. Step 1: Write the proportion equation
   76.10 : 105.06 = 59.69 : x
2. Step 2: Convert to fraction form
   76.10/105.06 = 59.69/x
3. Step 3: Cross multiply
   76.10x = 105.06 × 59.69
4. Step 4: Simplify right side
   76.10x = 6,271.52
5. Step 5: Solve for x
   x = 6,271.52/76.10
6. Step 6: Final answer
   x = 82.42